MinT - Information on Result #1026714

Information on Result #1026714

Linear OOA(4¹⁹⁹, 74, F₄, 3, 134) (dual of [(74, 3), 23, 135]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁶, 23, F₄, 3, 36) (dual of [(23, 3), 23, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁶, 26, F₄, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹³⁰, 51, F₄, 3, 97) (dual of [(51, 3), 23, 98]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³⁰, 55, F₄, 3, 97) (dual of [(55, 3), 35, 98]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,67P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

Mode: Constructive and linear.

None.

None.